For brainiest:):):):):):):):)

Alyssa is paid a 5 percent commission on her total sales each month. Last month, she sold $30,000 worth of items. After a state

grigory [225]

$1,365 is the answer, (the third choice)

3 0

3 years ago

The estimated probability of a bowler getting a strike during a particular frame is 63%. If several simulations of the bowler bo

Vilka [71]

Answer: Our required probability is 39.69%.

Step-by-step explanation:

Since we have given that

Probability of a bowler getting a strike during a particular frame = 63%

Number of frames are performed = 2

We need to find the probability that the bowler would be most likely to get a strike in each of the two frames.

So, it becomes,

$\dfrac{63}{100}\times \dfrac{63}{100}=(0.63)^2\\\\=0.3969\\\\=39.69\%$

Hence, Our required probability is 39.69%.

3 0

4 years ago

On April 1, 1986, Casey deposited $1150 into a savings account paying 9.6% interest, compounded quarterly. If he hasn't made any

jeka57 [31]

Answer: A. 1993

Step-by-step explanation: A P E X

8 0

3 years ago

A company employee is planning a promotion party with her friends. She orders 6 pizzas for $7 each, 2 bowls of mixed salad for $

Allisa [31]

Answer:

$86 is she spending on the party.

Step-by-step explanation:

As per the statement: A company employee is planning a promotion party with her friends. She orders 6 pizzas for $7 each, 2 bowls of mixed salad for $12 each, and 4 cases of assorted soft drinks for $5 each.

⇒ 6 pizzas for $7 each

Total cost for 6 pizzas = $6 \times 7 = \$42$

2 bowls of mixed salad for $12 each.

Total cost for 2 bowls = $2 \times 12 = \$24$

and

4 cases of assorted soft drinks for $5 each.

Total cost for 4 cases of assorted soft drinks = $4 \times 5 = \$20$

She spending on party = Total cost for 6 pizzas + Total cost for 2 bowls + Total cost for 4 cases of assorted soft drinks

Substitute the values we get;

Total cost she spending on party = $\$42 + \$24 + \$20 =\$86$

4 0

3 years ago

b) If parametric equations of a flow line are x = x(t), y = y(t), explain why these functions satisfy the differential equations

sineoko [7]

Answer:

The equation of the the flow line that passes through the point (x, y) = (−1, −1) is

In y + In x = 0 or in another form, xy = 1.

Step-by-step explanation:

The pathline equation for a vector field is given by F(x,y) = xî - yj

The velocity vector field for the streamline of the flow is given by

V(x, y) = (dx/dt)î + (dy/dt)j

From the question, it is given that

(dx/dt) = x

(dy/dt) = -y

Hence, the velocity vector field for the streamline of the flow in question is

V(x, y) = xî - yj

which coincides with the pathline vector field of the flow.

The only time the pathline and streamline vector field coincide and have the same equation is when the flow is a steady state flow.

That is, the properties of the fluid flowing isn't changing with time!

Hence, this flow is a steady state flow!

We're told to solve the differential equation.

(dx/dt) = x

(dy/dt) = -y

but

(dy/dx) = (dy/dt) × (dt/dx)

(dy/dx) = -y/x

(dy/y) = -(dx/x)

∫(dy/y) = -∫ (dx/x)

In y = - In x + c

where c is the constant of integration

In y + In x = c

In (xy) = c

Inserting the values of (x, y) given in the question,

In (-1 × -1) = c

In 1 = c

0 = c

c = 0

In y + In x = 0

In (yx) = 0

xy = e⁰ = 1

xy = 1

So, the equation of the the flow line that passes through the point (x, y) = (−1, −1) is

In y + In x = 0 or in another form, xy = 1

Hope this Helps!!!

4 0

3 years ago